Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(-6 - -4\right)}^{2} + \left(2 + -2\right)\left(-6 - 1\right) $$
Correct Answer
$$ 4$$ or 4.00000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times2\times1}{-4\times4 + -3 - 2} $$
Correct Answer
$$ \frac{-4}{21}$$ or -0.190476

3. Fractions 1

Simplify the following expression: $$ \frac{1}{6} + \frac{-4}{5} $$
Correct Answer
$$ \frac{-19}{30}$$ or -0.6333333333333334

4. Fractions 2

Simplify the following expression: $$ \frac{2}{3}\frac{-1}{6} $$
Correct Answer
$$ \frac{-1}{9}$$ or -0.1111111111111111

5. Significant figures

1. Write the following to 4 significant figures: 0.079359706
Correct Answer
0.07936 or $$7.936\times10^{-2}$$
2. Write the following to 4 significant figures: 0.010716922
Correct Answer
0.01072 or $$1.072\times10^{-2}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.000000875959
Correct Answer
$$8.7596\times10^{-7}$$
2. Write the following in standard form to 4 significant digits: 0.00111487
Correct Answer
$$1.115\times10^{-3}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 11.3
Correct Answer
$$11\times10^{0}$$
2. Write the following in preferred standard form to 2 significant digits: 0.4923
Correct Answer
$$490\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-1 - -5\right)}^{2} - \left(-6 - -5\right)\left(2 + 6\right) $$
Correct Answer
$$ 24$$ or 24.0000

9. Simplify 1

Simplify the following expression: $$ \left(-4 - 2 + 4\times5\right)2\left(5 - -3\right) $$
Correct Answer
$$ 224$$ or 224.000

10. Simplify 2

Simplify the following expression: $$ {\left(2 - -3\right)}^{2} - {\left(\frac{-4}{-2}\right)}^{\frac{-3}{1}} $$
Correct Answer
$$ \frac{199}{8}$$ or 24.8750


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